4 papers
Tight bounds on Poisson tails with applications to Szász-Mirakyan operators
José A. Adell, Daniel Cárdenas-Morales
We obtain tight bounds on Poisson tails which are easy to handle. A short proof based on the median of the gamma distribution is given. Numerical comparisons with other known estim…
On the rates of pointwise convergence for Bernstein polynomials
José A. Adell, Daniel Cárdenas-Morales, Antonio J. López-Moreno
Let be a real function defined on the interval which is constant on , and let be its associated th Bernstein polynomial. We prove that, fo…
Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants
José A. Adell, Daniel Cárdenas-Morales
We obtain strong converse inequalities for the Bernstein polynomials with explicit asymptotic constants. We give different estimation procedures in the central and non-central regi…
Strong Converse Inequalities for Bernstein Operators via Krawtchouk Polynomials
José A. Adell, Daniel Cárdenas-Morales
We obtain strong converse inequalities for the Bernstein operators with explicit constants. One of the main ingredients in our approach is the representation of the derivatives of…